Question

(a) which data set appears to show a negative linear relationship between its two variables? the data set in figure 3 (b) which data set appears to show a positive linear relationship between its two variables? the data set in figure 2 (c) which data set appears to show a nonlinear relationship between its two variables? the data set in figure 1 (d) which data set appears to show no relationship between its two variables? the data set in figure 4

Explanation:

Step1: Analyze negative linear relationship

In a negative linear relationship, as one variable increases, the other decreases in a straight - line fashion. Looking at Figure 3, we can observe this pattern.

Step2: Analyze positive linear relationship

For a positive linear relationship, when one variable increases, the other also increases in a straight - line manner. Figure 2 shows this characteristic.

Step3: Analyze nonlinear relationship

A nonlinear relationship does not follow a straight - line pattern. Figure 1 has a curve - like distribution of points, indicating a nonlinear relationship.

Step4: Analyze no - relationship

When there is no relationship, the points are scattered randomly with no discernible pattern. Figure 4 has a random scatter of points.

Answer:

(a) The data set in Figure 3
(b) The data set in Figure 2
(c) The data set in Figure 1
(d) The data set in Figure 4